Exact shock profile for the ASEP with sublattice-parallel update
- 10 May 2005
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 38 (21), 4579-4588
- https://doi.org/10.1088/0305-4470/38/21/004
Abstract
We analytically study the one-dimensional Asymmetric Simple Exclusion Process (ASEP) with open boundaries under sublattice-parallel updating scheme. We investigate the stationary state properties of this model conditioned on finding a given particle number in the system. Recent numerical investigations have shown that the model possesses three different phases in this case. Using a matrix product method we calculate both exact canonical partition function and also density profiles of the particles in each phase. Application of the Yang-Lee theory reveals that the model undergoes two second-order phase transitions at critical points. These results confirm the correctness of our previous numerical studies.Keywords
This publication has 15 references indexed in Scilit:
- Numerical study of phase transition in an exclusion model with parallel dynamicsPhysics Letters A, 2004
- Microscopic structure of travelling wave solutions in a class of stochastic interacting particle systemsNew Journal of Physics, 2003
- Shocks in the asymmetric simple exclusion process in a discrete-time updateJournal of Physics A: General Physics, 2000
- Stochastic Interacting Systems: Contact, Voter and Exclusion ProcessesPublished by Springer Science and Business Media LLC ,1999
- Shock profiles for the asymmetric simple exclusion process in one dimensionJournal of Statistical Physics, 1997
- Matrix product ground states for exclusion processes with parallel dynamicsJournal of Physics A: General Physics, 1996
- Phase transitions in an exactly soluble one-dimensional exclusion processJournal of Statistical Physics, 1993
- Microscopic-Shock Profiles: Exact Solution of a Non-equilibrium SystemEurophysics Letters, 1993
- Time-dependent correlation functions in a one-dimensional asymmetric exclusion processPhysical Review E, 1993
- Exact solution of a 1D asymmetric exclusion model using a matrix formulationJournal of Physics A: General Physics, 1993